Can someone explain in the clearest way possible how to solve this problem and also does it involve using sin cos tan formulas?
1 answer:
9514 1404 393
Answer:
480 ft
Step-by-step explanation:
The geometry involves two similar triangles. The ruler at arms length forms a triangle that has the opposite side 3 inches high and 24 inches (2 ft) away. That is, the distance from the eye to the ruler is 8 times the height of the ruler.
The triangle involving the lighthouse is similar. That is, the angles in it are the same, so the sides are proportional to those in the smaller (ruler) triangle. The distance to the lighthouse will be 8 times the height of the lighthouse, just as the distance to the ruler is 8 times the height of the ruler.
8 × 60 ft = 480 ft
The lighthouse is 480 feet away.
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Number 8:
This graph displays the amount of people evacuating per hour. Since the slope is negative, this means the amount of people evacuating per hour is reducing.
Step-by-step explanation:
Number 7:
Step 1: Identify the points on the line to use for slope formula.
The two points are (2, 11) and (6, 17).
and
will be
and
will be
Step 2: Plug in points into slope formula.
Step 3: Subtract.
Step 4: Simplify.
improper fraction:
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decimal:
Number 8:
Step 1: Identify the points on the line to use for the slope formula.
The two points are (3, 1200) and (6, 800)
and
will be
and
will be
Step 2: Plug in points into slope formula.
Step 3: Subtract.
Step 4: Simplify.
Cannot be simplified further.
mixed number:
decimal: